Music and Mathematics: From Pythagoras to Fractals
From Ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This collection of wide ranging, comprehensive and fully-illustrated papers, authorized by leading scholars, presents the link between these two subjects in a lucid manner that is suitable for students of both subjects, as well as the general reader with an interest in music. Physical, theoretical, physiological, acoustic, compositional and analytical relationships between mathematics and music are unfolded and explored with focus on tuning and temperament, the mathematics of sound, bell-ringing and modern compositional techniques.
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Music and Mathematics: From Pythagoras to Fractals
From Ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This collection of wide ranging, comprehensive and fully-illustrated papers, authorized by leading scholars, presents the link between these two subjects in a lucid manner that is suitable for students of both subjects, as well as the general reader with an interest in music. Physical, theoretical, physiological, acoustic, compositional and analytical relationships between mathematics and music are unfolded and explored with focus on tuning and temperament, the mathematics of sound, bell-ringing and modern compositional techniques.
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Music and Mathematics: From Pythagoras to Fractals

Music and Mathematics: From Pythagoras to Fractals

Music and Mathematics: From Pythagoras to Fractals

Music and Mathematics: From Pythagoras to Fractals

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Overview

From Ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This collection of wide ranging, comprehensive and fully-illustrated papers, authorized by leading scholars, presents the link between these two subjects in a lucid manner that is suitable for students of both subjects, as well as the general reader with an interest in music. Physical, theoretical, physiological, acoustic, compositional and analytical relationships between mathematics and music are unfolded and explored with focus on tuning and temperament, the mathematics of sound, bell-ringing and modern compositional techniques.

Product Details

ISBN-13: 9780199298938
Publisher: Oxford University Press
Publication date: 09/14/2006
Edition description: New Edition
Pages: 200
Product dimensions: 9.72(w) x 7.40(h) x 0.43(d)

About the Author

Open University (deceased)

Oxford University

Keble College, Oxford University

Table of Contents

PrefaceIntroduction, Susan WollenbergPart I:Mathematics and Music Through History1. Tuning and Temperament: Closing the Spiral, Neil Bibby2. Musical Cosmology: Kepler and His Readers, J.V. FieldPart II: The Mathematics of Musical Sound3. The Science of Musical Sound, Charles Taylor4. Faggot's Fretful Blunder, Ian Stewart5. Helmholtz: Combinational Tones and Consonance, David FowlerPart III: Mathematical Structure in Music6. Musical Frieze Patterns, Wilfrid Hodges7. Ringing the Changes: Bells and Mathematics, Dermot Roaf and Art White8. Composing with Numbers: Sets, Rows and Magic Squares, Jonathon CrossPart IV: Recent Developments9. Microtones and Projective Planes, Carlton Gramer & Robin Wilson10. Composing with Fractals, Robert Sherlaw JohnsonBibliography
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